Question

Match the difference in level and angle $\left(\theta \right)$ of line connecting O to A in Column I with the respective options in Column II. (Liquid is ideal in all cases and $g=10m/s^2$)

• A. $A-p,t;B-p,s;C-q,r;D-q,s$
• B. $A-q,t;B-p,s;C-p,r;D-q,r$
• C. $A-p,t;B-q,r;C-p,s;D-q,r$
• D. $A-p,t;B-p,s;C-p,s;D-q,r$

Answer 1

The correct option is A $A-p,t;B-p,s;C-q,r;D-q,s$

$\left(A\right)$ $y=\frac{{\omega }^2{x}^2}{2g}=1.25,tan\theta =\frac{1.25}{1}=1.25=\frac{5}{4}$

$\left(B\right)$ $y=\frac{{\omega }^2{x}^2}{2g}=1.25,tan\theta =\frac{1.25}{5}=\frac{1}{4}$

$\left(C\right)$ $y=5tan\theta =5\frac{a}{g}=2.5m,tan\theta =\frac{a}{g}=\frac{1}{2}$

$\left(D\right)$ $y=10tan\theta =10\frac{a}{g}=2.5m,tan\theta =\frac{a}{g}=\frac{1}{4}$